Upper School Intersession 2025

Thanks to significant advances in machine learning and data science, decision makers are embracing and employing advanced algorithms and statistical models to help with or fully automate difficult tasks across our society. With examples ranging from advertising and finance to healthcare and criminal justice, machine learning tools have become ubiquitous. While often providing significant improvements in speed and performance, these tools come with increased complexity that can make the decision making process opaque and difficult to evaluate. How did your model make that prediction? Why? Are the decisions that it makes fair? How can we quantify fairness? In this activity, we will discuss real-world examples of automated algorithmic decision making along with the practical and ethical problems they can face. We will explore the ideas of bias, fairness, safety, and interpretability.

How many ways can you make $0.97 from quarters, dimes, nickels and pennies?
How can you derive a closed-form formula for the sum of the first n squares or cubes? Or for the n-th Fibonacci number?

These all sound like inherently discrete counting problems--yet there are ideas from the realm of continuous functions, which have an essentially non-discrete, infinite character, that can be used to solve them. We'll explore generating functions, which encode solutions in polynomials, and touch on finite calculus, which extends ideas of calculus to the discrete realm.

Prerequisites: most of the class will just use ideas through precalculus, but familiarity with basic derivatives and integrals will be helpful for the last part of the class.

This class will cover the basic fundamentals of the game of Go and hopefully start you on a path towards learning a strategy game that's captivated millions of minds around the world for thousands of years. Students who already know how to play are welcome to join and will be paired up with other experienced players.

Go (also known as Weiqi, Baduk and Igo) is an ancient Chinese strategy board game that has been around for at least 2000 years. It's often considered the oldest strategy game on the planet that's still being played in its original form (although Chess has also existed for thousands of years, the rules have changed over time).

Once upon a time, it was considered one of the four essential arts of a Chinese scholar and although it's not very well known in the Western world, it is still widely played in China, Japan and Korea today, with major tournaments often being broadcast on the news and online.

Go players often joke that you can learn the game in a few minutes but it may take you the rest of your life to master. Come to this class if you like deep strategy games and puzzles! I'd love to help you start on your Go journey!

Students who attend this session are invited to the open Go play sessions.

Now that you know some of the basics of Go playing, this is your chance to practice and play with an instructor available to advise you.

This session is open to students who attend the introduction "Learn to Play" class or anyone who knows the basics of how to play.